A water tank is being filled with water. The volume of water in the water tank varies with time. The tank contains 200 liters of water after 2 minutes.

Question

Define appropriate variables, and write an equation relating the volume of water and time. What does the constant variation represent?
Please help I don't know where to start.

Answer 1

This appears to be a problem involving direct variation. So, you know that the equation will look like

v = kt

k represents the rate of fill, in liters/min. Since v(2) = 200,

200 = 2k, so k=100

Thus, the final equation must be

v = 100t